A RESULT ON THE INSTABILITY OF SOLUTIONS OF CERTAIN NON-AUTONOMOUS VECTOR DIFFERENTIAL EQUATIONS OF FOURTH ORDER

Abstract

The main purpose of this paper is to obtain sufficient conditions under which the trivial solution of the vector differential equations of the form
X(4) + A
... X +B(t)H(X,
. X,
.. X,
... X)
.. X +C(t)G(X)
. X +D(t)F(X)=0
is unstable.